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Finding the Fourth Proportional to 3,823.95, 5,705.32 and 3,408.15

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Solution

The fourth proportional to 3,823.95, 5,705.32 and 3,408.15 is: 5,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.95 : 5,705.32 = 3,408.15 : x
  2. Step 2: Convert to fraction form
    3,823.95/5,705.32 = 3,408.15/x
  3. Step 3: Cross multiply
    3,823.95x = 5,705.32 × 3,408.15
  4. Step 4: Simplify right side
    3,823.95x = 19,444,577.84
  5. Step 5: Solve for x
    x = 19,444,577.84/3,823.95
  6. Step 6: Final answer
    x = 5,084.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.